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74171972 = 227191071303
BaseRepresentation
bin1000110101111…
…00011001000100
312011120022211002
410122330121010
5122442000342
611205432432
71560310550
oct432743104
9164508732
1074171972
1138960556
1220a0b718
131249c754
149bca860
1567a1d32
hex46bc644

74171972 has 48 divisors (see below), whose sum is σ = 157731840. Its totient is φ = 29810592.

The previous prime is 74171971. The next prime is 74172001. The reversal of 74171972 is 27917147.

74171972 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

74171972 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (74171971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56273 + ... + 57575.

It is an arithmetic number, because the mean of its divisors is an integer number (3286080).

Almost surely, 274171972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74171972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78865920).

74171972 is an abundant number, since it is smaller than the sum of its proper divisors (83559868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74171972 is a wasteful number, since it uses less digits than its factorization.

74171972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its digits is 24696, while the sum is 38.

The square root of 74171972 is about 8612.3151358970. The cubic root of 74171972 is about 420.1586173377.

The spelling of 74171972 in words is "seventy-four million, one hundred seventy-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 107 133 214 266 428 532 749 1303 1498 2033 2606 2996 4066 5212 8132 9121 14231 18242 24757 28462 36484 49514 56924 99028 139421 173299 278842 346598 557684 693196 975947 1951894 2648999 3903788 5297998 10595996 18542993 37085986 74171972